Least Common Multiple of 32/184, 11/386, 577/819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/184, 11/386, 577/819 quickly i.e. 203104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/184, 11/386, 577/819 is 203104.

LCM(32/184, 11/386, 577/819) = 203104

LCM of 32/184, 11/386, 577/819

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 32/184,11/386,577/819

Given numbers are 32/184,11/386,577/819

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 32,11,577

Least Common Multiple of Numerators i.e. LCM of 32,11,577 is 203104.

GCF of Denominators means GCF of 184,386,819 as per the given fractions.

GCF of 184,386,819 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,11,577

LCM of Fractions 32/184,11/386,577/819 is 203104

Given numbers has no common factors except 1. So, there LCM is their product i.e 203104

Least Common Multiple of 32,11,577 with GCF Formula

Least Common Multiple of 32,11,577 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 32,11,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,11,577) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(32,11,577) x common factors =1 x 1 = 1

LCM(32,11,577) = ( 32 × 11 × 577 ) / 1

LCM(32,11,577) = 203104 / 1

LCM(32,11,577) = 203104


Lets's calculate GCF of 184,386,819

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 203104/1

Therefore the LCM of Fractions 32/184,11/386,577/819 is 203104

Greatest Common Factor of 184,386,819 By Matching Biggest Common Factor Method

Greatest Common Factor of 184,386,819 By Matching Biggest Common Factor Method

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Greatest Common Factor

We found the factors 184,386,819 . The biggest common factor number is the GCF number.
So the greatest common factor 184,386,819 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 32/184, 11/386, 577/819

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 32/184, 11/386, 577/819?

Answer: LCM of Numerators as per given numbers 32/184, 11/386, 577/819 is

LCM of Numerators i.e. for 32,11,577 is 203104

GCF of denominators i.e. for 184,386,819 is 1.

Thus, LCM of Fractions is 203104.Finally, LCM of Fractions for 32/184, 11/386, 577/819 is 203104.